Answer:
18° and 72°
Step-by-step explanation:
Complimentary angles form 90°
We have an angle (x) 4 times larger than the other (y).
Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.
Answer:
The right solution is:
(a) $1,940
(b) $2,813
Step-by-step explanation:
Given:
Invoice amount
= $8,400
Discount 1
= 33.33%
Discount 2
= 12.5%
So,
The net payable amount will be:
= ![8400\times [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ]](https://tex.z-dn.net/?f=8400%5Ctimes%20%20%5B1%20-%20%5Cfrac%7B100%7D%7B300%7D%20%5D%5Ctimes%20%5B1%20-%20%5Cfrac%7B12.5%7D%7B100%7D%20%5D)
= 
=
($)
Now,
(a)
Amount paid will be:
= 
=
($)
Balance still to be paid will be:
= 
=
($)
(b)
Amount paid will be:
= 
= 
=
($)
Balance still to be paid will be:
=
($)
Thus the above solution is the appropriate one.
Answer:
A. 34°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Opposite leg AC = 24
Adjacent leg CB = 35
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Tangent]:

- Inverse Trig [Tangent]:

- Evaluate:

- Round:

The midpoint between -4 and 8 is answer B) 2
Answer:
She needs 3/4 or 0.75 cups of sugar.
Step-by-step explanation:
1/2 = 2/4
2/4 + 1/4 = <em>3/4</em>
<em></em>
Then to get it as a fraction, you divide 3 by 4 and you get 0.75. Hope this helps!!